SOLUTION: Find the area of the triangle with the given measurements. Round your answer to the nearest tenth. Assume 𝛼 is opposite side a, 𝛽 is opposite side b, and 𝛾 is opposite sid

Question 1204443: Find the area of the triangle with the given measurements. Round your answer to the nearest tenth. Assume 𝛼 is opposite side a, 𝛽 is opposite side b, and 𝛾 is opposite side c.
b = 17, c = 9, 𝛼 = 34°
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

I'll use A,B,C in place of alpha,beta,gamma.

Given info is:
b = 17
c = 9
A = 34 degrees

Angle A is between sides b and c.
We can use the side angle side (SAS) area formula for a triangle.

area = 0.5*side1*side2*sin(angle between those sides)
area = 0.5*b*c*sin(A)
area = 0.5*17*9*sin(34)
area = 42.7782571155121
area = 42.8
Your calculator needs to be in degree mode.

Answer: 42.8 square units (approximate)

RELATED QUESTIONS
Find the area of the triangle with the given measurements. Round your answer to the... (answered by ikleyn,MathLover1)

Find the area of the given triangle. Round your answer to the nearest tenth. Do not round (answered by fractalier)

Find the area of the triangle with the given measurements. Round the solution to the... (answered by Cromlix)

Find the area of the regular polygons. Give the answer to the nearest tenth. Pentagon... (answered by Gogonati)

Find the area of the triangle with the given measurements. Round the solution to the... (answered by rothauserc,MathTherapy,ikleyn)

Assume ABC is a right triangle with the right angle at C. If A= 36�30' and b= 43.5cm,... (answered by rothauserc)

Use an appropriate area formula to find the area of the triangle with the given side... (answered by ikleyn)

Here is my problem: A piece of art is in the shape of an equilateral triangle with the... (answered by nerdybill)

Find the AREA of the triangle below. Round your answer to the nearest tenth. Show... (answered by josgarithmetic)